On the convergence of difference schemes for the generalized BBM-Burgers equation

DOI10.1515/GMJ-2018-0075zbMath1456.65058OpenAlexW2900564215WikidataQ128985890 ScholiaQ128985890MaRDI QIDQ2333585

Givi Berikelashvili, Manana Mirianashvili

Publication date: 13 November 2019

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2018-0075

zbMATH Keywords

Sobolev spacedifference schemeabsolutely stablegeneralized BBM-Burgers equationscale of convergence rate estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

A new highly accurate numerical scheme for Benjamin-Bona-Mahony-Burgers equation describing small amplitude long wave propagation ⋮ The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation

Cites Work

• Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation
• Optimal error estimate of Chebyshev-Legendre spectral method for the generalised Benjamin-Bona-Mahony-Burgers equations
• Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
• Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
• The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
• Bounds for a class of linear functionals with applications to Hermite interpolation
• On the convergence of difference schemes for generalized Benjamin–Bona–Mahony equation
• Sinc and solitary wave solutions to the generalized Benjamin–Bona–Mahony–Burgers equations
• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• Polynomial Approximation of Functions in Sobolev Spaces
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